Point K is on line segment \overline{JL} JL . Given JK=2x-2,JK=2x−2, KL=x-9,KL=x−9, and JL=2x+8,JL=2x+8, determine the numerical length of \overline{KL}. KL .

Answer:

[tex] {x}^{2} +2 x + 1 = 4 \\ {(x + 1)}^{2} = 4 \\( x + 1) = + 2 \: and \: (x + 1) = - 2 \\ \boxed{x = 1 \: and \: x = - 3}[/tex]

Answer:

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ZBDC = ( 180 - x - y )°

:-))

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Answer:

f'(x) = 2ax + b

Step-by-step explanation:

Differentiate each term using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

Given

f(x) = ax² + bx , then

f'(x) = 2a[tex]x^{2-1}[/tex] + b[tex]x^{1-1}[/tex]

     = 2ax + b[tex]x^{0}[/tex] ( [tex]x^{0}[/tex] = 1 )

     = 2ax + b

Answer:

[tex]y - 8 = \frac{5}{3}(x - 1)[/tex]

Step-by-step explanation:

1) Use the slope formula, [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex], and the given points to find the slope. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line must intersect, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line must also intersect:

[tex]\frac{(3)-(8)}{(-2)-(1)}[/tex]

= [tex]\frac{-5}{-3}[/tex]

= [tex]\frac{5}{3}[/tex]

2) Using the point-slope formula, [tex]y-y_1 = m (x - x_1)[/tex], use the slope you just calculated and substitute it for m. Choose any of the two points given (I chose (1,8)) and substitute its x and y values for [tex]x_1[/tex] and [tex]y_1[/tex]. Don't worry, the equation of the line is the same no matter which point you choose (unless the question specifies which one you need to choose):

[tex]y - 8 = \frac{5}{3}(x - 1)[/tex]

Answer:

Yes, only one trial had a result of 19 or larger.

Step-by-step explanation:

The claim reported is that only about half of high school seniors study for upcoming math test. However, at Garfield a sizeable number of the 30 surveyed observation gave a symmetrical distribution about the study pattern of their high school seniors with only one trial a frequency of yes greater than or equal to 19

Answer:

Your answer is

B. C. And. E

Hope it will help :)❤

Answer:

10N as the SI u it for net force is N

Step-by-step explanation:

The answer is:

F=MA

=2Kg×5m/s

=10N

Answer:

I believe it would be 75% or 3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer:

1.38

Step-by-step explanation:

245.00 x 1.38 = 338.10

Answer:

(a) 5 mayflies

(b) 15 mayflies

(c) 84 flying flies

Step-by-step explanation:

Represent Mayflies with M and the total flying insects with F

The ratio can be represented as:

[tex]M : F = 5 : 14[/tex]

Solving (a):

[tex]F = 14[/tex]

Find M

Substitute 14 for F in [tex]M : F = 5 : 14[/tex]

[tex]M : 14 = 5 : 14[/tex]

Convert to fraction

[tex]\frac{M}{14} = \frac{5}{14}[/tex]

Multiply through by 14

[tex]14 * \frac{M}{14} = \frac{5}{14} * 14[/tex]

[tex]M = 5[/tex]

Solving (b):

[tex]F = 42[/tex]

Find M

Substitute 42 for F in [tex]M : F = 5 : 14[/tex]

[tex]M : 42 = 5 : 14[/tex]

Convert to fraction

[tex]\frac{M}{42} = \frac{5}{14}[/tex]

Multiply through by 42

[tex]42 * \frac{M}{42} = \frac{5}{14} * 42[/tex]

[tex]M = \frac{5}{14} * 42[/tex]

[tex]M=5*3[/tex]

[tex]M= 15[/tex]

Solving (c):

[tex]M = 30[/tex]

Find F

Substitute 30 for M in [tex]M : F = 5 : 14[/tex]

[tex]30 : F = 5 : 14[/tex]

Convert to fraction

[tex]\frac{F}{30} = \frac{14}{5}[/tex]

Multiply through by 30

[tex]30 * \frac{F}{30} = \frac{14}{5} * 30[/tex]

[tex]F = \frac{14}{5} * 30[/tex]

[tex]F = 14*6[/tex]

[tex]F = 84[/tex]

Answer:

The indifference point is 360 miles.

Step-by-step explanation:

Giving the following information:

Rental 1:

Total cost= 185 + 0.25*x

x= miles driven

Rental 2:

Total cost= $275

Now, we need to equal both formulas and isolate x:

185 + 0.25x = 275

0.25x = 90

x= 90/0.25

x= 360

The indifference point is 360 miles.

Answer:

c, 14

Step-by-step explanation:

Answer:

the ansewr is b

Step-by-step explanation:

Answer:

The answer is IQ

Step-by-step explanation:

Edge 2021

Answer:

x > 3

2 is not a solution since 3 is greater than 2.

hope this helps :D

Answer:

3

Step-by-step explanation:

-2x =-6

-2. -2

x =3

-2 divided by -2x equal x

-2 divided by -6 equal 3

x equal 3

Answer:

the correct answer is C) x - 6y = 14

Given:

No variable equals 1 or 0.

To find:

The statements which is always False.

Solution:

According to identity of multiplication,

[tex]1(x)=x[/tex]

For x=2,

[tex]1(2)=2\neq 1[/tex]

So, the statement [tex]1(x)=1[/tex] always false because no variable equals 1 or 0.

Multiplication property of zero,

[tex]0(x)=0[/tex]

Commutative property of addition,

[tex]x+y=y+x[/tex]

Distributive property of multiplication over addition,

[tex]a(b+c)=ab+ac[/tex]

No variable equals 1 or 0. So, all the statements in options B, C, D are always true.

Therefore, the correct option is A.

Answer:

which ever answer is the largest number

Step-by-step explanation:

the bigger the number, the better accuracy

Hence, the commission the employee earned as a percentage of the total cost of the gym membership is [tex]16[/tex] % and the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be [tex]21.6[/tex] $

What is the percentage?

A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".

Here given that,

For each gym membership sold, the gym keeps $[tex]42[/tex], and the employee who sold it gets $[tex]8[/tex].

(1)

Here the full price is [tex]42+8=50[/tex]

So, the commission the employee earned as a percentage of the total cost of the gym membership is

[tex]\frac{8}{50}=16[/tex] %

(2)

Here, the employee sells a family pass for $[tex]135[/tex].

So, the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be

[tex]\frac{16}{100}[/tex] ×[tex]135=21.6[/tex] $

Hence, the commission the employee earned as a percentage of the total cost of the gym membership is [tex]16[/tex] % and the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be [tex]21.6[/tex] $

To know more about the percentage

https://brainly.com/question/13244100

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Answer:

1) 3x+8

2) -2y+3x

Step-by-step explanation:

thats the answer! hope it helps :)

Answer:

x[tex]\geq[/tex]5

Step-by-step explanation:

The domain is the function defined on your x-axis.

It starts from 5 and includes 5

so the domain is x[tex]\geq[/tex]5

Answer:

55 seconds

Step-by-step explanation:

Okay so, 1/12 of a minute would be 5 seconds. 10/12 would be 50 seconds. You go up 5 continuously.

Answer:

You're correct

Step-by-step explanation:

-21 > -28

-21 is bigger than -28 so ana did swim further

Answer:

[tex]a=85[/tex]

Step-by-step explanation:

We can write the following system of equations:

[tex]\begin{cases}5.10c+8.70a=1065.90\\c+a=149\end{case}[/tex], where [tex]c[/tex] represents the number of child tickets sold and [tex]a[/tex] represents the number of adult tickets sold.

Multiplying the second equation by [tex]-5.10[/tex] and adding both equations lets us isolate and solve for [tex]a[/tex]:

[tex]\begin{cases}5.10c+8.70a=1065.90\\-5.10c-5.10a=-759.9\end{case}\\3.6a=306,\\a=\fbox{$85$}[/tex].

Answer:

If log(subscript 10) 3 is approximately .4771, evaluate log (subscript 10) .0003 Give answer correct to four decimals.

Step-by-step explanation:

If log(subscript 10) 3 is approximately .4771, evaluate log (subscript 10) .0003 Give answer correct to four decimals.

Answer:

Draw a line of a givens point

Answer:

there would be 20

Step-by-step explanation:

Answer:

1.25 cups

Step-by-step explanation:

50 / 10 = 5

that means there are 5 cups in 1 gallon

5 / 4 = 1.25

So there are 1.25 or as a fraction 1 1/4 cups in 1/4 of a gallon of water

Answer:

slope=1/2

the given point=(0, 13/2)

Step-by-step explanation:

change the equation to the y=mx+b format

y-8=1/2(x-3)

y=1/2x-3/2+8

y=1/2x+13/2

m=slope

1/2=slope

given point(y-intercept)= the constant

given point=13/2